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-
How to use it?
- Inequation:
- 18>=x
- sgrt(2x+1)>2x^2+x-1
- sqrt(2+2x)≤4.
- -7x>-28
- Sum of series:
-
-28
-
Identical expressions
- -7x>- twenty-eight
- minus 7x greater than minus 28
- minus 7x greater than minus twenty minus eight
-
Similar expressions
- 2^(x^2-7*x+14)<=16
- (x^3-7*x^2-5*x+75)/(x^4-25*x^2)<=0
- 1/8*log2(x-2)^8+log2(x+4)>3
- -7x>+28
- 7x>-28
- x*(x-7)*(x+12)>0
-7x>-28 inequation
The solution
Detail solution
Given the inequality:
$$- 7 x > -28$$
To solve this inequality, we must first solve the corresponding equation:
$$- 7 x = -28$$
Solve:
Given the linear equation:
Divide both parts of the equation by -7
$$x_{1} = 4$$
$$x_{1} = 4$$
This roots
$$x_{1} = 4$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 4$$
=
$$\frac{39}{10}$$
substitute to the expression
$$- 7 x > -28$$
$$- \frac{7 \cdot 39}{10} > -28$$
the solution of our inequality is:
$$x < 4$$
$$- 7 x > -28$$
To solve this inequality, we must first solve the corresponding equation:
$$- 7 x = -28$$
Solve:
Given the linear equation:
-7*x = -28
Divide both parts of the equation by -7
x = -28 / (-7)
$$x_{1} = 4$$
$$x_{1} = 4$$
This roots
$$x_{1} = 4$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 4$$
=
$$\frac{39}{10}$$
substitute to the expression
$$- 7 x > -28$$
$$- \frac{7 \cdot 39}{10} > -28$$
-273 ----- > -28 10
the solution of our inequality is:
$$x < 4$$
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Solving inequality on a graph